On hydromagnetic channel flow of an Oldroyd-B fluid induced by tooth pulses

A. K. Ghosh¹ - Pintu Sana²

¹ Jadavpur University,Kolkata-70032,India
² Andrew's High (H.S) School, 33 Gariahat Road(S), Kolkata-700031, India

Abstract
The unsteady motion of an incompressible electrically conducting non-Newtonian Oldroyd-B fluid in an infinite channel with non-conducting walls in the presence of an external transverse magnetic field is considered. The flow is generated from rest due to velocity tooth pulses applied to the upper plate with the lower plate held fixed. There is no external electric field acting on the fluid and the magnetic Reynolds number is very small. Exact solutions of the problem are obtained by two methods: the Fourier analysis and the Laplace transforms. The enquiries are made about the velocity field and skin-friction on the walls. It is shown that both methods give the same result. The influence of magnetic field and elasticity of the fluid on the flow and skin-friction on the walls are presented graphically. Figs 6, Refs 11.